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Finding the Third Proportional to 291,004 and 439,100

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Solution

The third proportional to 291,004 and 439,100 is: 662,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,004 : 439,100 = 439,100 : x
  2. Step 2: Convert to fraction form
    291,004/439,100 = 439,100/x
  3. Step 3: Cross multiply
    291,004x = 439,100 × 439,100
  4. Step 4: Simplify right side
    291,004x = 192,808,810,000
  5. Step 5: Solve for x
    x = 192,808,810,000/291,004
  6. Step 6: Final answer
    x = 662,564.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.